Ms Zervos has sued the president for saying her sexual misconduct claims were lies.
But New York Supreme Court Judge Jennifer Schecter ruled Tuesday the suit can move forward, setting a deadline for discovery for the beginning of next year, according to BuzzFeed News.
In a hearing in NY state court on Tuesday, Zervos' attorney Marianne Wang argued that the campaign inappropriately "drew a line" on that information, and told reporters after the hearing that Zervos is trying to prove "the falsity of [Trump's] statements, including his falsity about other women".
Zervos is one of two women with civil cases against Trump that continue to move ahead.
A judge in NY state trial court has ordered that depositions in a lawsuit against President Trump must be complete by early next year, setting up a potential showdown over whether Trump must answer questions under oath.
Marc Kasowitz, an attorney for President Donald Trump, enters State Supreme Court in New York, Dec. 5, 2017. Zervos, who was a contestant on Trump's former reality TV show "The Apprentice" in 2006, says Trump defamed her on the campaign trail when he publicly accused her and other women of being liars.
They have also requested any Trump campaign records concerning Ms Zervos, any other woman who has accused Mr Trump of inappropriate touching or the 2016 emergence of a 2005 Access Hollywood recording of Mr Trump talking about aggressively groping women.
Presidential depositions have a memorable history: During a 1998 deposition in a sexual harassment case filed by Paula Jones, then-President Bill Clinton denied a sexual relationship with White House intern Monica Lewinsky. Trump denied the claim. He specifically contested Zervos' allegations in a statement and retweeted a message that included her photo and described her claims as a "hoax". Trump is now asking the Court of Appeals to impose a stay.
Ms Zervos said his words hurt her reputation, harmed her business and led to threats against her.
Despite Schechter's order that Trump must sit for a deposition, there's still a chance he could avoid that.
Kasowitz has claimed that the Supremacy Clause of the US Constitution bars a state court lawsuit against a sitting president and said in court on Tuesday that "this issue will likely reach the Supreme Court of the United States".
Kasowitz said Tuesday they would work out something narrower but were mindful of media interest and might seek additional protections "if such interest, as a matter of course, intrudes on the interests and rights of the litigants or looks like it would impair the ability to have a fair trial".